A123733 - OEIS

%I #10 Aug 26 2022 05:26:21

%S 1,1,2,6,3,4,2,8,6,4,3,1,4,5,5,0,7,0,5,7,2,4,9,7,8,4,8,7,2,9,9,9,2,6,

%T 8,3,2,5,8,4,6,4,2,0,6,3,5,0,2,6,2,9,7,4,9,2,5,1,6,8,8,2,8,0,8,7,9,8,

%U 2,9,1,5,2,6,5,9,4,9,3,0,1,8,3,6,8,9,2,7,3,2,2,5,7,3,2,4,8,4,8,0,4,8,8,9,5

%N Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^4.

%F Equals Sum_{m>=1} A049060(m)/m^4.

%F Equals Product_{p prime} (1 + (p^4- p^3+1)/((p-1)^2*(p^2+p+1)*(p^3+p^2+p+1))). - _Amiram Eldar_, Aug 26 2022

%e 1.12634286431455070572497848729992683258464206350262...

%o (PARI) prodeulerrat(1 + (p^4-p^3+1)/((p-1)^2*(p^2+p+1)*(p^3+p^2+p+1))) \\ _Amiram Eldar_, Aug 26 2022

%Y Cf. A049060, A123732, A123734, A183700.

%K nonn,cons

%O 1,3

%A _Yasutoshi Kohmoto_, Nov 18 2006

%E 46 more digits from _R. J. Mathar_, Dec 19 2010

%E More terms from _Amiram Eldar_, Aug 26 2022